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Finding the Fourth Proportional to 82.25, 113.56 and 52.76

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Solution

The fourth proportional to 82.25, 113.56 and 52.76 is: 72.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 113.56 = 52.76 : x
  2. Step 2: Convert to fraction form
    82.25/113.56 = 52.76/x
  3. Step 3: Cross multiply
    82.25x = 113.56 × 52.76
  4. Step 4: Simplify right side
    82.25x = 5,991.43
  5. Step 5: Solve for x
    x = 5,991.43/82.25
  6. Step 6: Final answer
    x = 72.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.